question_answer

For the given uniform square lamina ABCD, whose centre is O                                    [AIEEE 2007]

A)   \[f(x)=\]          

B)        \[{{\log }_{e}}x\]

C)   \[2{{\log }_{3}}e\]      

D)        \[\frac{1}{2}{{\log }_{e}}3\]

Correct Answer: B

Solution :

[b] Let the each side of square lamina is d.

So,                  (due to symmetry)

and                              (due to symmetry)

Now, according to theorem of perpendicular axes,

...(i)

and

...(ii)

From Eqs. (i) and (ii), we get

(using theorem of parallel axis)

So,